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210605s2021 sz o 000 0 eng d |
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|a 1262675324
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|a 9783030498405
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|z 9783030498399
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|a 10.1007/978-3-030-49840-5
|2 doi
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|a (OCoLC)1255223599
|z (OCoLC)1262675324
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|a TA645
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|a HCDD
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|a Werkle, Horst.
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|a Finite elements in structural analysis :
|b theoretical concepts and modeling procedures in statics and dynamics of structures /
|c Horst Werkle.
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264 |
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1 |
|a Cham :
|b Springer,
|c 2021.
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300 |
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|a 1 online resource (716 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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347 |
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|a text file
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347 |
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|b PDF
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490 |
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|a Springer Tracts in Civil Engineering
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|a Intro -- Preface -- Contents -- 1 Mathematical Background -- 1.1 Introduction -- 1.2 Matrices and Vectors -- 1.3 Matrix Algebra -- 1.3.1 Addition and Subtraction -- 1.3.2 Multiplication -- 1.3.3 Inverse of a Matrix -- 1.4 Linear Systems of Equations -- 1.4.1 Inhomogeneous and Homogeneous Systems of Equations -- 1.4.2 Existence of Solutions -- 1.4.3 Numerical Solution Methods -- 1.4.4 Norms and Condition Number -- 1.5 Eigenvalue Problems -- 1.5.1 General Eigenvalue Problem -- 1.5.2 Numerical Solution of Eigenvalue Problems -- Exercises -- References
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505 |
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|a 2 Basic Equations of the Theory of Elasticity -- 2.1 Types of Structures -- 2.2 One-Dimensional and Two-Dimensional States of Stress -- 2.3 Beams and Plates in Bending -- 2.4 Spatial Structures -- 2.4.1 Generals -- 2.4.2 Beams -- 2.4.3 Solids -- References -- 3 Truss and Beam Structures -- 3.1 Introduction -- 3.1.1 The Finite Element Method in Structural Analysis -- 3.1.2 Nodal Points, Degrees of Freedom, and Finite Elements -- 3.1.3 Computational Method -- 3.2 Introductory Example: Plane Truss System -- 3.2.1 Structural System -- 3.2.2 Element Stiffness Matrix of a Truss Element
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|a 3.2.3 Coordinate Transformation -- 3.2.4 Global Stiffness Matrix -- 3.2.5 Support Conditions -- 3.2.6 Solution of the System of Equations -- 3.2.7 Support Forces and Element Stresses -- 3.2.8 Flexibility Matrix -- 3.3 Elastic Springs -- 3.3.1 Elastic Support of Nodal Points -- 3.3.2 Spring Elements -- 3.4 Beams in Bending -- 3.4.1 Stiffness Matrix of the Beam Element -- 3.4.2 Element Loads -- 3.4.3 Extension of the Stiffness Matrix of the Beam Element -- 3.4.4 Coordinate Transformation -- 3.4.5 Hinges -- 3.5 Combined Beam and Truss Systems -- 3.6 Spatial Trusses and Beam Structures
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|a 3.6.1 3D Truss Element -- 3.6.2 3D Beam Element -- 3.6.3 Beam Element with Warping Torsion -- 3.7 Modeling of Beam Structures -- 3.7.1 Supports -- 3.7.2 Springs -- 3.7.3 Beam Structures -- 3.7.4 Symmetrical Structures -- 3.8 Quality Assurance and Documentation -- 3.8.1 Sources of Error -- 3.8.2 Checking of Beam Structures Computations -- 3.8.3 Documentation of Finite Element Analyses -- Exercises -- References -- 4 Plate, Shell, and Solid Structures -- 4.1 Historical Background -- 4.2 Basic Concepts -- 4.3 Approximation Character of the Finite Element Method
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|a 4.3.1 One-Dimensional Introductory Example -- 4.3.2 Analytical Solution -- 4.3.3 FEM Approximate Solution with Linear Shape Functions -- 4.3.4 FEM Approximate Solution with Quadratic Shape Functions -- 4.3.5 Properties of the Finite Element Approximate Solution -- 4.4 Rectangular Elements for Plates in Plane Stress -- 4.4.1 Shape Functions -- 4.4.2 Strains and Stresses -- 4.4.3 Stiffness Matrix -- 4.4.4 Element Loads -- 4.4.5 Examples -- 4.5 Finite Elements for Plates in Plane Stress -- 4.5.1 Properties of Finite Elements -- 4.5.2 Displacement-Based Elements with Compatible Shape Functions
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|a 4.5.3 Nonconforming Elements.
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|a The book introduces the basic concepts of the finite element method in the static and dynamic analysis of beam, plate, shell and solid structures, discussing how the method works, the characteristics of a finite element approximation and how to avoid the pitfalls of finite element modeling. Presenting the finite element theory as simply as possible, the book allows readers to gain the knowledge required when applying powerful FEA software tools. Further, it describes modeling procedures, especially for reinforced concrete structures, as well as structural dynamics methods, with a particular focus on the seismic analysis of buildings, and explores the modeling of dynamic systems. Featuring numerous illustrative examples, the book allows readers to easily grasp the fundamentals of the finite element theory and to apply the finite element method proficiently.
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|a Online resource; title from PDF title page (SpringerLink, viewed June 7, 2021).
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650 |
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|a Structural analysis (Engineering)
|x Mathematics.
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650 |
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|a Finite element method.
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650 |
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7 |
|a Finite element method
|2 fast
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7 |
|a Structural analysis (Engineering)
|x Mathematics
|2 fast
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758 |
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|i has work:
|a FINITE ELEMENTE IN DER BAUSTATIK - LINEARE STATIK DER STAB UND FLCHENTRAGWERKE (Work)
|1 https://id.oclc.org/worldcat/entity/E39PCXqF4JBHrFTgBwhccXx8P3
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
0 |
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|i Print version:
|a Werkle, Horst.
|t Finite Elements in Structural Analysis.
|d Cham : Springer International Publishing AG, ©2021
|z 9783030498399
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830 |
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0 |
|a Springer tracts in civil engineering.
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856 |
4 |
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|u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-49840-5
|y Click for online access
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|a springengine2021
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|a 92
|b HCD
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